What is the Greatest Common Factor of 71080 and 71095?

Greatest common factor (GCF) of 71080 and 71095 is 5.

GCF(71080,71095) = 5

We will now calculate the prime factors of 71080 and 71095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71080 and 71095.

How to find the GCF of 71080 and 71095?

We will first find the prime factorization of 71080 and 71095. After we will calculate the factors of 71080 and 71095 and find the biggest common factor number .

Step-1: Prime Factorization of 71080

Prime factors of 71080 are 2, 5, 1777. Prime factorization of 71080 in exponential form is:

71080 = 2³ × 5¹ × 1777¹

Step-2: Prime Factorization of 71095

Prime factors of 71095 are 5, 59, 241. Prime factorization of 71095 in exponential form is:

71095 = 5¹ × 59¹ × 241¹

Step-3: Factors of 71080

List of positive integer factors of 71080 that divides 71080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1777, 3554, 7108, 8885, 14216, 17770, 35540

Step-4: Factors of 71095

List of positive integer factors of 71095 that divides 71080 without a remainder.

1, 5, 59, 241, 295, 1205, 14219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71080 and 71095. The biggest common factor number is the GCF number.
So the greatest common factor 71080 and 71095 is 5.

Also check out the Least Common Multiple of 71080 and 71095